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New q-Euler numbers and polynomials associated with p-adic q-integrals

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Abstract

The purpose of this paper is to construct new q-Euler numbers and polynomi-als. Finally we will consider the Witt's type formula associated with theseq-Euler numbers and polynomials, and construct q-partial zeta functions and p-adic q-l-functions which interpolate new q-Euler numbers and polynomials at negative integers.

참고문헌 (11)

  1. T. Kim, "A note on p-adic invariant integral in the rings of p-adic integers", 13, pp.95~99 (2006)
  2. T. Kim, "A note on some formulas for the q-Euler numbers and polynomials", 9, pp.227~232 (2006)
  3. T. Kim, "q-Volkenborn integration", 9, pp.288~299 (2002)
  4. T. Kim, "A Note on the q-Genocchi Numbers and Polynomials", 2007 (2007)
  5. T. Kim, "On p-adic interpolating function for q-Euler numbers and its derivatives", article press
  6. T. Kim, "A note on p-adic q-integral associated with q-Euler numbers"
  7. L. C. Jang, "Explicit p-adic q-expansion for the alternating sums of powers"
  8. H. Ozden, "A new extension of q-Euler numbers and polynomials related to theirinterpolation function" (2007)
  9. H. Ozden, "Interpolation function of the -extension of twisted Euler numbers"
  10. S.H. Rim, "Explicit p-adic expansion for alternating sums of powers", 14, pp.241~250 (2007)
  11. H. Ozden, "A note on p -adic q -Euler measure", Advanced Studies in Contemporary Mathematics, 14(2), pp.233~240 (2007), 장전수학회

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